Given that √3/2(x) = √√(sin x cos x) π.Χ. use the Bessel function orthogonality equation to evaluate in terms of J', 3/2 1 (sin ax - cos ax)² dx ax 0 (5.1) (5.2)

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A: We have to find the derivative of cos(x) by using definition of derivative by limit.

Q: Suppose z is implicitly defined as a function of x and y by the equation cy z3 – xevz + y sin rz =…

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Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

A: The answer is found in step-2.

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A: Note:-  cosA-B =cos A cos B - sin A sin BsinA+B =sin A cos B + cos A sin B   Part (1):- Given that…

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Q: y =x* sin? (4x) A. dy = 8x° sin(4x) cos(4x) + 6x sin5(4x) XP dy 3. = 8x° sin(4x) cos(4x) -…

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Q: Suppose the position function of a particle is given r(t) = (√3 cos (t), t-4, √3 sin(t)). If the…

A: Given : r(t)=3cos(t), t-4, 3sin(t) is the position function of a particle. To find : If the particle…

Q: 5. Evaluate: 34 l vo dx dx. √9-16x2 0

A: To find the value of given integral.

Q: . Determine the derivative of the following complex functions: f(z) = (z³ + 3z²)³at z = 2i b. Item…

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Q: 2.) Compute for the derivative (DO NOT USE THE DEFINITION) of A. 2x3 y = tanh sin x2

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Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

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Q: Function dy du dy du dx dx = (5x³ – 7x² + 2x – 3)*) _y = csc(x² – 3) y = 5x² – . y = V5x2 – 4 _y =…

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Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³; (4) y = x sinh 2x-cosh 2x (2) y =…

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Q: (cos x+xcost)dt +(sint – t sin x)dx = 0 Ans. t cos x+x sint = c

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Q: sin 4. Compute (1-7) dr. x(x−7)

A: (4)

Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

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Q: sin(2t). Find Əz Ət if z = √r² + s², r = cos(2t) and s =

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Q: 4. Prove that cos(sin¬1 x) = /1 – x².

A: cos(sin-1x)=1-x2⇒sin-1x=cos-1(1-x2)Let y=sin-1x                               (1) ⇒siny=x…

Q: Q: Show that the following functions are inverse functions? 1. Vãy = x2- 4x + 16V , x24 x-2 2. y =…

A: Q1:Given:xy=x52-4x32=16x                                        →...(1)To show:The functions are…

Q: A. J- sec (sec x) dx v xVx -1 elin dx c. Sa dx x +4 x + 5x – 6 2s+2 ds: D. JE+1)(5 – 1) B.

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: cos x . Use residues to evaluate I = -dx , (a>0). 2 2 x + a

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Q: PLS HELP ASAP ON ALL

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Q: Q11] Using the properties of the FT, calculate the FT of the following functions: (a) x¡(1) = 5 +3…

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Q: 3. Show that: • T/2 sin" x dx • T/2 cos" x dx

A: Recall the property of definite integral:

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Q: Find for the following dx 1- cos² (x. y)= 2y³.x²-√√x+√√2

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Prove that the function f(z) = sin(x)cosh(y) + i cos(x)sinh(y) is entire.

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